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Simplifying 3(4x + 1) + 6(6x + 3) = 0 Reorder the terms: 3(1 + 4x) + 6(6x + 3) = 0 (1 * 3 + 4x * 3) + 6(6x + 3) = 0 (3 + 12x) + 6(6x + 3) = 0 Reorder the terms: 3 + 12x + 6(3 + 6x) = 0 3 + 12x + (3 * 6 + 6x * 6) = 0 3 + 12x + (18 + 36x) = 0 Reorder the terms: 3 + 18 + 12x + 36x = 0 Combine like terms: 3 + 18 = 21 21 + 12x + 36x = 0 Combine like terms: 12x + 36x = 48x 21 + 48x = 0 Solving 21 + 48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 48x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 48x = 0 + -21 48x = 0 + -21 Combine like terms: 0 + -21 = -21 48x = -21 Divide each side by '48'. x = -0.4375 Simplifying x = -0.4375
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